问题
选择题
“若x,y∈R且x2+y2=0,则x,y全为0”的否命题是( )
A.若x,y∈R且x2+y2≠0,则x,y全不为0
B.若x,y∈R且x2+y2≠0,则x,y不全为0
C.若x,y∈R且x,y全为0,则x2+y2=0
D.若x,y∈R且x,y不全为0,则x2+y2≠0
答案
答案:B
由否命题的概念可知,原命题的否命题为“若x,y∈R且x2+y2≠0,则x,y不全为0”,故选B.
“若x,y∈R且x2+y2=0,则x,y全为0”的否命题是( )
A.若x,y∈R且x2+y2≠0,则x,y全不为0
B.若x,y∈R且x2+y2≠0,则x,y不全为0
C.若x,y∈R且x,y全为0,则x2+y2=0
D.若x,y∈R且x,y不全为0,则x2+y2≠0
答案:B
由否命题的概念可知,原命题的否命题为“若x,y∈R且x2+y2≠0,则x,y不全为0”,故选B.